Linear Representations Worksheet

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which table models the amount she charges over time?

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A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y = 15x

• y = 15x + 80

• y = x + 15

• y = 80x + 15

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

y = 2.75x + 4.25

What does x represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

To go to the park, it costs $4 plus $3 per child. Which equation shows this situation, where x represents the number of children?

• y = 4x + 3

• y = 3x - 4

• y = -4x + 3

• y = 3x + 4

What is the equation of the graph?

• x=5

• y=5

• y=5x+5

• y=5+x

What is the equation for the line of the graph?

What is the equation for the line of the graph?

What is the equation of the line that has a slope of -1 and a y-intercept of 3?

What is the equation of the line that has a slope of -1 and goes through (-2, -4)?

What is the equation of the line that passes through (3, 4) and (6, 5)?